54808818704640 has 3456 divisors, whose sum is σ = 266858274493440. Its totient is φ = 10363514388480.

The previous prime is 54808818704611. The next prime is 54808818704719. The reversal of 54808818704640 is 4640781880845.

54808818704640 is a `hidden beast` number, since 5 + 4 + 80 + 88 + 18 + 7 + 0 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27779430694 + ... + 27779432666.

Almost surely, 2^{54808818704640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54808818704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133429137246720).

54808818704640 is an abundant number, since it is smaller than the sum of its proper divisors (212049455788800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54808818704640 is a wasteful number, since it uses less digits than its factorization.

54808818704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 54808818704640 in words is "fifty-four trillion, eight hundred eight billion, eight hundred eighteen million, seven hundred four thousand, six hundred forty".